## Soifer, Alexander

# Competitions for Young Mathematicians

**Table of contents**

**Part I. Goals of Mathematics Instruction**

1. Goals of Mathematics Instruction: Seven Thoughts and Seven Illustrations of Means*Alexander Soifer*

**Part II. Geometry for Competitions**

2. From a Mathematical Situation to a Problem*Francisco Bellot-Rosado*

3. Techniques for Solving Problems of Plane Geometry*K. P. Shum*

**Part III. Combinatorics for Competitions**

4. Arrangements and Transformations of Numbers on a Circle: An Essay Inspired by Problems of Mathematics Competitions*Kiril Bankov*

5. Combinatorial Problems in the Mathematical Olympiad of Central America and the Caribbean*L. F. Cáceres-Duque, J. H. Nieto Said, R. J. Sánchez Lamoneda*

**Part IV. Role of Competitions in the Classroom**

6. The Rainbow of Mathematics—Teaching the Complete Spectrum and the Role Mathematics Competitions Can Play*Robert Geretschläger*

7. Competition Aims to Develop Flexibility in the Classroom*Ingrid Semanišinová, Matúš Harminc, Martina Jesenská*

8. Discovering, Development, and Manifestation of Mathematical Talent*Iliana Tsvetkova*

**Part V. Original Competitions**

9. International Mathematical Tournament of Towns*Nikolay Konstantinov, Sergey Dorichenko*

10. Madhava Mathematics Competition—A Recent Initiative in India*V. M. Sholapurkar*

**Part VI. Thoughts About Competitions’ Present and Future**

11. From the Lifetime Experience of a Seasoned Math Educator—Thoughts, Hopes, Views and Impressions*Romualdas Kašuba*

12. Future Directions for Research in Mathematics Competitions*Peter James Taylor*

**Part VII. A Bridge Between Competitions and ‘Real’ Mathematics**

13. Are Mathematics Competitions Changing the Mathematics that Is Being Done and the Way Mathematics Is Done?*María Falk Losada*

14. Classic Conjectures Allow Young Mathematicians to Commence Research*Alexander Soifer*

**Keywords:** Education, Mathematics Education

- Editor
- Soifer, Alexander
- Publisher
- Springer
- Publication year
- 2017
- Language
- en
- Edition
- 1
- Series
- ICME-13 Monographs
- Category
- Upbringing, Education
- Format
- Ebook
- eISBN (PDF)
- 9783319565859
- Printed ISBN
- 978-3-319-56584-2